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Finding the Fourth Proportional to 530.47, 798.82 and 462.80

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Solution

The fourth proportional to 530.47, 798.82 and 462.80 is: 696.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.47 : 798.82 = 462.80 : x
  2. Step 2: Convert to fraction form
    530.47/798.82 = 462.80/x
  3. Step 3: Cross multiply
    530.47x = 798.82 × 462.80
  4. Step 4: Simplify right side
    530.47x = 369,693.90
  5. Step 5: Solve for x
    x = 369,693.90/530.47
  6. Step 6: Final answer
    x = 696.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.