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Finding the Fourth Proportional to 688.52, 1,030.35 and 503.64

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Solution

The fourth proportional to 688.52, 1,030.35 and 503.64 is: 753.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.52 : 1,030.35 = 503.64 : x
  2. Step 2: Convert to fraction form
    688.52/1,030.35 = 503.64/x
  3. Step 3: Cross multiply
    688.52x = 1,030.35 × 503.64
  4. Step 4: Simplify right side
    688.52x = 518,925.47
  5. Step 5: Solve for x
    x = 518,925.47/688.52
  6. Step 6: Final answer
    x = 753.68

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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.