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Finding the Fourth Proportional to 530.66, 797.20 and 457.76

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Solution

The fourth proportional to 530.66, 797.20 and 457.76 is: 687.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.66 : 797.20 = 457.76 : x
  2. Step 2: Convert to fraction form
    530.66/797.20 = 457.76/x
  3. Step 3: Cross multiply
    530.66x = 797.20 × 457.76
  4. Step 4: Simplify right side
    530.66x = 364,926.27
  5. Step 5: Solve for x
    x = 364,926.27/530.66
  6. Step 6: Final answer
    x = 687.68

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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.