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Finding the Fourth Proportional to 560.16, 835.65 and 507.92

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Solution

The fourth proportional to 560.16, 835.65 and 507.92 is: 757.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.16 : 835.65 = 507.92 : x
  2. Step 2: Convert to fraction form
    560.16/835.65 = 507.92/x
  3. Step 3: Cross multiply
    560.16x = 835.65 × 507.92
  4. Step 4: Simplify right side
    560.16x = 424,439.17
  5. Step 5: Solve for x
    x = 424,439.17/560.16
  6. Step 6: Final answer
    x = 757.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.