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Finding the Fourth Proportional to 1,582.61, 2,373.70 and 472

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Solution

The fourth proportional to 1,582.61, 2,373.70 and 472 is: 707.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.61 : 2,373.70 = 472 : x
  2. Step 2: Convert to fraction form
    1,582.61/2,373.70 = 472/x
  3. Step 3: Cross multiply
    1,582.61x = 2,373.70 × 472
  4. Step 4: Simplify right side
    1,582.61x = 1,120,386.40
  5. Step 5: Solve for x
    x = 1,120,386.40/1,582.61
  6. Step 6: Final answer
    x = 707.94

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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.