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Finding the Fourth Proportional to 1,017.83, 1,526.45 and 432.83

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Solution

The fourth proportional to 1,017.83, 1,526.45 and 432.83 is: 649.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.83 : 1,526.45 = 432.83 : x
  2. Step 2: Convert to fraction form
    1,017.83/1,526.45 = 432.83/x
  3. Step 3: Cross multiply
    1,017.83x = 1,526.45 × 432.83
  4. Step 4: Simplify right side
    1,017.83x = 660,693.35
  5. Step 5: Solve for x
    x = 660,693.35/1,017.83
  6. Step 6: Final answer
    x = 649.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.