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Finding the Fourth Proportional to 560.04, 770.98 and 472.68

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Solution

The fourth proportional to 560.04, 770.98 and 472.68 is: 650.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.04 : 770.98 = 472.68 : x
  2. Step 2: Convert to fraction form
    560.04/770.98 = 472.68/x
  3. Step 3: Cross multiply
    560.04x = 770.98 × 472.68
  4. Step 4: Simplify right side
    560.04x = 364,426.83
  5. Step 5: Solve for x
    x = 364,426.83/560.04
  6. Step 6: Final answer
    x = 650.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.