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Finding the Fourth Proportional to 1,053.42, 1,580.25 and 476.46

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Solution

The fourth proportional to 1,053.42, 1,580.25 and 476.46 is: 714.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.42 : 1,580.25 = 476.46 : x
  2. Step 2: Convert to fraction form
    1,053.42/1,580.25 = 476.46/x
  3. Step 3: Cross multiply
    1,053.42x = 1,580.25 × 476.46
  4. Step 4: Simplify right side
    1,053.42x = 752,925.92
  5. Step 5: Solve for x
    x = 752,925.92/1,053.42
  6. Step 6: Final answer
    x = 714.74

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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.