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Finding the Fourth Proportional to 560.16, 836.04 and 545.64

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Solution

The fourth proportional to 560.16, 836.04 and 545.64 is: 814.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.16 : 836.04 = 545.64 : x
  2. Step 2: Convert to fraction form
    560.16/836.04 = 545.64/x
  3. Step 3: Cross multiply
    560.16x = 836.04 × 545.64
  4. Step 4: Simplify right side
    560.16x = 456,176.87
  5. Step 5: Solve for x
    x = 456,176.87/560.16
  6. Step 6: Final answer
    x = 814.37

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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.