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Finding the Fourth Proportional to 560.20, 840.30 and 497.80

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Solution

The fourth proportional to 560.20, 840.30 and 497.80 is: 746.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.20 : 840.30 = 497.80 : x
  2. Step 2: Convert to fraction form
    560.20/840.30 = 497.80/x
  3. Step 3: Cross multiply
    560.20x = 840.30 × 497.80
  4. Step 4: Simplify right side
    560.20x = 418,301.34
  5. Step 5: Solve for x
    x = 418,301.34/560.20
  6. Step 6: Final answer
    x = 746.70

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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.