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Finding the Fourth Proportional to 705.51, 973.56 and 390.76

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Solution

The fourth proportional to 705.51, 973.56 and 390.76 is: 539.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.51 : 973.56 = 390.76 : x
  2. Step 2: Convert to fraction form
    705.51/973.56 = 390.76/x
  3. Step 3: Cross multiply
    705.51x = 973.56 × 390.76
  4. Step 4: Simplify right side
    705.51x = 380,428.31
  5. Step 5: Solve for x
    x = 380,428.31/705.51
  6. Step 6: Final answer
    x = 539.23

Related Problems

Find fourth proportional to 352.75, 486.78 and 195.38
Half scale
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Double scale
Find fourth proportional to 706.51, 974.94 and 391.76
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.