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Finding the Fourth Proportional to 705.30, 973.03 and 456.76

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Solution

The fourth proportional to 705.30, 973.03 and 456.76 is: 630.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.30 : 973.03 = 456.76 : x
  2. Step 2: Convert to fraction form
    705.30/973.03 = 456.76/x
  3. Step 3: Cross multiply
    705.30x = 973.03 × 456.76
  4. Step 4: Simplify right side
    705.30x = 444,441.18
  5. Step 5: Solve for x
    x = 444,441.18/705.30
  6. Step 6: Final answer
    x = 630.14

Related Problems

Find fourth proportional to 352.65, 486.52 and 228.38
Half scale
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Double scale
Find fourth proportional to 706.30, 974.41 and 457.76
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.