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Finding the Fourth Proportional to 602.94, 831.15 and 471.72

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Solution

The fourth proportional to 602.94, 831.15 and 471.72 is: 650.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.94 : 831.15 = 471.72 : x
  2. Step 2: Convert to fraction form
    602.94/831.15 = 471.72/x
  3. Step 3: Cross multiply
    602.94x = 831.15 × 471.72
  4. Step 4: Simplify right side
    602.94x = 392,070.08
  5. Step 5: Solve for x
    x = 392,070.08/602.94
  6. Step 6: Final answer
    x = 650.26

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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.