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Finding the Fourth Proportional to 1,202.19, 1,658.53 and 870.04

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Solution

The fourth proportional to 1,202.19, 1,658.53 and 870.04 is: 1,200.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.19 : 1,658.53 = 870.04 : x
  2. Step 2: Convert to fraction form
    1,202.19/1,658.53 = 870.04/x
  3. Step 3: Cross multiply
    1,202.19x = 1,658.53 × 870.04
  4. Step 4: Simplify right side
    1,202.19x = 1,442,985.71
  5. Step 5: Solve for x
    x = 1,442,985.71/1,202.19
  6. Step 6: Final answer
    x = 1,200.30

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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.