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Finding the Fourth Proportional to 602.92, 831.30 and 509.50

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Solution

The fourth proportional to 602.92, 831.30 and 509.50 is: 702.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.92 : 831.30 = 509.50 : x
  2. Step 2: Convert to fraction form
    602.92/831.30 = 509.50/x
  3. Step 3: Cross multiply
    602.92x = 831.30 × 509.50
  4. Step 4: Simplify right side
    602.92x = 423,547.35
  5. Step 5: Solve for x
    x = 423,547.35/602.92
  6. Step 6: Final answer
    x = 702.49

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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.