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Finding the Fourth Proportional to 1,154.19, 1,592.75 and 630.23

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Solution

The fourth proportional to 1,154.19, 1,592.75 and 630.23 is: 869.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.19 : 1,592.75 = 630.23 : x
  2. Step 2: Convert to fraction form
    1,154.19/1,592.75 = 630.23/x
  3. Step 3: Cross multiply
    1,154.19x = 1,592.75 × 630.23
  4. Step 4: Simplify right side
    1,154.19x = 1,003,798.83
  5. Step 5: Solve for x
    x = 1,003,798.83/1,154.19
  6. Step 6: Final answer
    x = 869.70

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.