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Finding the Fourth Proportional to 560.08, 840.23 and 457.79

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Solution

The fourth proportional to 560.08, 840.23 and 457.79 is: 686.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.08 : 840.23 = 457.79 : x
  2. Step 2: Convert to fraction form
    560.08/840.23 = 457.79/x
  3. Step 3: Cross multiply
    560.08x = 840.23 × 457.79
  4. Step 4: Simplify right side
    560.08x = 384,648.89
  5. Step 5: Solve for x
    x = 384,648.89/560.08
  6. Step 6: Final answer
    x = 686.77

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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.