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Finding the Fourth Proportional to 1,714.81, 2,572.40 and 560.77

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Solution

The fourth proportional to 1,714.81, 2,572.40 and 560.77 is: 841.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.81 : 2,572.40 = 560.77 : x
  2. Step 2: Convert to fraction form
    1,714.81/2,572.40 = 560.77/x
  3. Step 3: Cross multiply
    1,714.81x = 2,572.40 × 560.77
  4. Step 4: Simplify right side
    1,714.81x = 1,442,524.75
  5. Step 5: Solve for x
    x = 1,442,524.75/1,714.81
  6. Step 6: Final answer
    x = 841.22

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1.5x scale

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.