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Finding the Fourth Proportional to 687.01, 947.64 and 424.75

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Solution

The fourth proportional to 687.01, 947.64 and 424.75 is: 585.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.01 : 947.64 = 424.75 : x
  2. Step 2: Convert to fraction form
    687.01/947.64 = 424.75/x
  3. Step 3: Cross multiply
    687.01x = 947.64 × 424.75
  4. Step 4: Simplify right side
    687.01x = 402,510.09
  5. Step 5: Solve for x
    x = 402,510.09/687.01
  6. Step 6: Final answer
    x = 585.89

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Half scale
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Double scale
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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.