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Finding the Fourth Proportional to 460.64, 687.55 and 424.03

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Solution

The fourth proportional to 460.64, 687.55 and 424.03 is: 632.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.64 : 687.55 = 424.03 : x
  2. Step 2: Convert to fraction form
    460.64/687.55 = 424.03/x
  3. Step 3: Cross multiply
    460.64x = 687.55 × 424.03
  4. Step 4: Simplify right side
    460.64x = 291,541.83
  5. Step 5: Solve for x
    x = 291,541.83/460.64
  6. Step 6: Final answer
    x = 632.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.