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Finding the Fourth Proportional to 560.24, 840.36 and 464.72

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Solution

The fourth proportional to 560.24, 840.36 and 464.72 is: 697.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.24 : 840.36 = 464.72 : x
  2. Step 2: Convert to fraction form
    560.24/840.36 = 464.72/x
  3. Step 3: Cross multiply
    560.24x = 840.36 × 464.72
  4. Step 4: Simplify right side
    560.24x = 390,532.10
  5. Step 5: Solve for x
    x = 390,532.10/560.24
  6. Step 6: Final answer
    x = 697.08

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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.