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Finding the Fourth Proportional to 1,054.71, 1,582.08 and 476.91

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Solution

The fourth proportional to 1,054.71, 1,582.08 and 476.91 is: 715.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.71 : 1,582.08 = 476.91 : x
  2. Step 2: Convert to fraction form
    1,054.71/1,582.08 = 476.91/x
  3. Step 3: Cross multiply
    1,054.71x = 1,582.08 × 476.91
  4. Step 4: Simplify right side
    1,054.71x = 754,509.77
  5. Step 5: Solve for x
    x = 754,509.77/1,054.71
  6. Step 6: Final answer
    x = 715.37

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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.