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Finding the Fourth Proportional to 628.92, 865.80 and 530.64

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Solution

The fourth proportional to 628.92, 865.80 and 530.64 is: 730.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.92 : 865.80 = 530.64 : x
  2. Step 2: Convert to fraction form
    628.92/865.80 = 530.64/x
  3. Step 3: Cross multiply
    628.92x = 865.80 × 530.64
  4. Step 4: Simplify right side
    628.92x = 459,428.11
  5. Step 5: Solve for x
    x = 459,428.11/628.92
  6. Step 6: Final answer
    x = 730.50

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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.