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Finding the Fourth Proportional to 560.64, 841.68 and 475.68

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Solution

The fourth proportional to 560.64, 841.68 and 475.68 is: 714.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.64 : 841.68 = 475.68 : x
  2. Step 2: Convert to fraction form
    560.64/841.68 = 475.68/x
  3. Step 3: Cross multiply
    560.64x = 841.68 × 475.68
  4. Step 4: Simplify right side
    560.64x = 400,370.34
  5. Step 5: Solve for x
    x = 400,370.34/560.64
  6. Step 6: Final answer
    x = 714.13

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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.