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Finding the Fourth Proportional to 687.51, 948.89 and 438.77

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Solution

The fourth proportional to 687.51, 948.89 and 438.77 is: 605.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.51 : 948.89 = 438.77 : x
  2. Step 2: Convert to fraction form
    687.51/948.89 = 438.77/x
  3. Step 3: Cross multiply
    687.51x = 948.89 × 438.77
  4. Step 4: Simplify right side
    687.51x = 416,341.36
  5. Step 5: Solve for x
    x = 416,341.36/687.51
  6. Step 6: Final answer
    x = 605.58

Related Problems

Find fourth proportional to 343.76, 474.44 and 219.38
Half scale
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Double scale
Find fourth proportional to 688.51, 950.27 and 439.77
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.