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Finding the Fourth Proportional to 778.68, 1,073.68 and 530.15

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Solution

The fourth proportional to 778.68, 1,073.68 and 530.15 is: 730.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.68 : 1,073.68 = 530.15 : x
  2. Step 2: Convert to fraction form
    778.68/1,073.68 = 530.15/x
  3. Step 3: Cross multiply
    778.68x = 1,073.68 × 530.15
  4. Step 4: Simplify right side
    778.68x = 569,204.76
  5. Step 5: Solve for x
    x = 569,204.76/778.68
  6. Step 6: Final answer
    x = 730.99

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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.